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On the Space-of-Loops Isomorphism [PDF]
Proceedings of the American Mathematical Society, 1959 For X an arc-wise connected topological space with base point x0, let OX be the space of loops on X; that is, OX is the subset of the function space XI consisting of all paths X: I-*>X such that X(O) =X(1) =x0, where I is the unit interval. Let I Q| X be the geometric realization of the singular complex of QX; |Q|I X is a CW-complex [5].
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Spectra of sigma models on semi-symmetric spaces
Nuclear Physics B, 2016 Sigma models on semi-symmetric spaces provide the central building block for string theories on AdS backgrounds. Under certain conditions on the global supersymmetry group they can be made one-loop conformal by adding an appropriate fermionic Wess–Zumino
Alessandra Cagnazzo +2 more
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Minimal 3-loop neutrino mass models and charged lepton flavor violation
Journal of High Energy Physics, 2020 We study charged lepton flavor violation for the three most popular 3-loop Majorana neutrino mass models. We call these models “minimal” since their particle content correspond to the minimal sets for which genuine 3-loop models can be constructed.
Ricardo Cepedello +3 more
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Microdrone-Based Indoor Mapping with Graph SLAM
Drones, 2022 Unmanned aerial vehicles offer a safe and fast approach to the production of three-dimensional spatial data on the surrounding space. In this article, we present a low-cost SLAM-based drone for creating exploration maps of building interiors.
Samer Karam +3 more
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Systolic freedom of loop space [PDF]
Geometric and Functional Analysis, 2001 This is an updated version of the published ...
Katz, M., Suciu, A.
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Riesz basis property of Timoshenko beams with boundary feedback control
International Journal of Mathematics and Mathematical Sciences, 2003 A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of
De-Xing Feng +2 more
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Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type
Doug Pickrell
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Restrictions on curved cosmologies in modified gravity from metric considerations
Physics Letters B, 2015 This study uses very simple symmetry and consistency considerations to put constraints on possible Friedmann equations for modified gravity models in curved spaces. As an example, it is applied to loop quantum cosmology.
Linda Linsefors, Aurelien Barrau
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Light Blue Walls and Tan Flooring: A Culture of Belonging in Engineering Making Spaces (or Not?)
Education Sciences, 2021 The motivation for this exploratory qualitative study is to understand what a culture of belonging may look like across six engineering education making spaces in institutions of higher education in the U.S.
Idalis Villanueva Alarcón +4 more
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Journal of High Energy Physics, 2019 We calculate one-loop corrections to the mass for the zero mode of scalar field in a six-dimensional Yang-Mills theory compactified on a torus with magnetic flux.
Takuya Hirose, Nobuhito Maru
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